Answer:
Step-by-step explanation:
f(x)=-4x+2
g(x)=x²+1
(gof)(x)=g(f(x))=g(-4x+2)=(-4x+2)²+2=16x²-16x+4+2=16x²-16x+6
(gof)(3)=16(3)²-16(3)+6=144-48+6=150-48=102
Answer: it is equal
Step-by-step explanation: you subtract 15-4 which equals 11. the exponent is the only thing being subtracted since it's a fraction. therefore it equals 10(11)
To answer this question you will find the means and the mean absolute deviations and compare them.
The correct answers are
A and C.
Please see the attached picture for the organized work.
Answer:

Step-by-step explanation:
To make d the subject of formula, we need to rearrange the equation such that we arrive at d= _____.

<em>Remove the fraction by multiplying (d +3) on both sides:</em>

<em>Expand</em><em>:</em>
<em>
</em>
<em>Bring</em><em> </em><em>all</em><em> </em><em>the</em><em> </em><em>d</em><em> </em><em>terms</em><em> </em><em>to</em><em> </em><em>one</em><em> </em><em>side</em><em> </em><em>and</em><em> </em><em>move</em><em> </em><em>the</em><em> </em><em>others</em><em> </em><em>to</em><em> </em><em>the</em><em> </em><em>other</em><em> </em><em>side</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>equation</em><em>:</em>

<em>Factorise</em><em> </em><em>d</em><em> </em><em>out</em><em>:</em>
<em>
</em>
<em>Divide</em><em> </em><em>by</em><em> </em><em>(</em><em>c</em><em> </em><em>+</em><em>1</em><em>)</em><em> </em><em>on</em><em> </em><em>both</em><em> </em><em>sides</em><em>:</em>
<em>
</em>
Answer: the trip (one-way) that Alan made on Saturday was 63 miles.
Step-by-step explanation:
Let x represent the distance of the trip that Alan made on Saturday.
Let t represent the time that it took Alan to make the trip on Saturday.
On Saturday, Alan traveled North along minor roads averaging 36 mph to visit a friend.
Distance = speed × time.
Therefore, distance travelled on Saturday would be
x = 36 × t = 36t
On Sunday, he traveled East along main roads averaging 60 mph to visit his mother. The trip to visit his mother was 24 miles longer and took 18 minutes(18/60 = 0.3 hours) less. This means that the distance travelled would be
x + 24 and the time spent would be t - 0.3 hours.
Distance travelled on Sunday would be
x + 24 = 60(t - 0.3)
x + 24 = 60t - 18 - - - - - - -- - - 1
Substituting x = 36t into equation 1, it becomes
36t + 24 = 60t - 18
60t - 36t = 24 + 18
24t = 42
t = 42/24 = 1.75
x = 36t = 36 × 1.75
x = 63 miles